Atkin-Lehner |
3- 5- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
34545u |
Isogeny class |
Conductor |
34545 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
79872 |
Modular degree for the optimal curve |
Δ |
4590706640625 = 36 · 58 · 73 · 47 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- -2 -6 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6455,170400] |
[a1,a2,a3,a4,a6] |
Generators |
[235:-3530:1] [-80:460:1] |
Generators of the group modulo torsion |
j |
86720652499447/13383984375 |
j-invariant |
L |
6.8809094636246 |
L(r)(E,1)/r! |
Ω |
0.74072796835815 |
Real period |
R |
0.38705783125736 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103635q1 34545e1 |
Quadratic twists by: -3 -7 |